180/x=x/(180-x)

Simple and best practice solution for 180/x=x/(180-x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 180/x=x/(180-x) equation: 


D( x )

x = 0

180-x = 0

x = 0

x = 0

180-x = 0

180-x = 0

180-x = 0 // - 180

-x = -180 // * -1

x = 180

x in (-oo:0) U (0:180) U (180:+oo)

180/x = x/(180-x) // - x/(180-x)

180/x-(x/(180-x)) = 0

(-1*x)/(180-x)+180/x = 0

(-1*x^2)/(x*(180-x))+(180*(180-x))/(x*(180-x)) = 0

180*(180-x)-1*x^2 = 0

32400-x^2-180*x = 0

32400-x^2-180*x = 0

32400-x^2-180*x = 0

DELTA = (-180)^2-(-1*4*32400)

DELTA = 162000

DELTA > 0

x = (162000^(1/2)+180)/(-1*2) or x = (180-162000^(1/2))/(-1*2)

x = (180*5^(1/2)+180)/(-2) or x = (180-180*5^(1/2))/(-2)

(x-((180*5^(1/2)+180)/(-2)))*(x-((180-180*5^(1/2))/(-2))) = 0

((x-((180*5^(1/2)+180)/(-2)))*(x-((180-180*5^(1/2))/(-2))))/(x*(180-x)) = 0

((x-((180*5^(1/2)+180)/(-2)))*(x-((180-180*5^(1/2))/(-2))))/(x*(180-x)) = 0 // * x*(180-x)

(x-((180*5^(1/2)+180)/(-2)))*(x-((180-180*5^(1/2))/(-2))) = 0

( x-((180*5^(1/2)+180)/(-2)) )

x-((180*5^(1/2)+180)/(-2)) = 0 // + (180*5^(1/2)+180)/(-2)

x = (180*5^(1/2)+180)/(-2)

( x-((180-180*5^(1/2))/(-2)) )

x-((180-180*5^(1/2))/(-2)) = 0 // + (180-180*5^(1/2))/(-2)

x = (180-180*5^(1/2))/(-2)

x in { (180*5^(1/2)+180)/(-2), (180-180*5^(1/2))/(-2) }

See similar equations:

| 2.5x-0.75(2x+5)=0.37 | | =3(-2C-5D)+2D-5(D-3C) | | 1/2b-3=3/4 | | y-5=1/5(x-1) | | x^2-6x-y^2-y+10=0 | | 72=a(-18+16)(-18+2) | | 11-2x-7+42-3x=2 | | 5x^2-4=19x | | 56.25=x(1+.25) | | 99999999999999999+9999999999999= | | X=45+-4x | | log(5x+7)=0 | | m=23 | | 3*13y= | | x-(.10x)=50000 | | 8x-3=8x+5 | | (6ab^4/3x^-3y^-4)^-2=0 | | 22+8=1763014 | | x=50000+.10x | | (2x-5)(2x^2+10x+25)=0 | | X=6(3a+4c) | | x-.10x=50000 | | -5x(3)+30x(2)-15x=90 | | 2x-8x+1=9-16x | | ax+bx-cx-ay+dy-ey= | | 2x-8+1=16x | | 3x-2y+2y-3z+2z-4x-5y= | | 7y-6y+2y-8y-3y+y= | | 0.3+0.75-6+3=x | | 4.2x-15.4=18.2 | | 6a+3a-7a= | | -15x-19=-94 |

Equations solver categories